Points of order 13 on elliptic curves
Number Theory
2016-10-18 v3
Abstract
We pick up the study of 13-torsion in elliptic curves where Mazur and Tate left off 45 years ago. We consider various questions concerning elliptic curves defined over the maximal totally real subfield of the 13th cyclotomic field (where J_1(13) acquires everywhere good reduction), and over quadratic extensions.
Keywords
Cite
@article{arxiv.1608.08672,
title = {Points of order 13 on elliptic curves},
author = {Sheldon Kamienny and Burton Newman},
journal= {arXiv preprint arXiv:1608.08672},
year = {2016}
}
Comments
Eliminated dependence on weak BSD and added references in Section 3